Question

in the proportion 15:66::185:x the value of x is
a.814
b.841
c.714
d.741

Answer 1

$15:66::185:x \\ \\ \frac{15}{66} = \frac{185}{x} \\ \\ x = \frac{185 \times 66}{15} \\ \\ x = 12.3333333333 \times 66 \\ \\ x = 813.9999999978 \\ \\ x = 814$

Answer 2

The Value of x = 814 i.e option a. 814 is correct

GIVEN:- 15:66::185:x

TO FIND:- the value of x

SOLUTION:-

• We can define a ratio of two quantities a and b of the same kind in the same units as a fraction

$\frac{a}{b}$

• A proportion is an equation that states that two ratios are equal. Four numbers are said to be in proportion if the ratio of the first two is equal to the ratio of the last two i.e., a, b, c and d are said to be in proportion, if a: b = c / d This is expressed as a: b::c: d. It is read as "a is to b as c is to d.

• A proportion can be expressed in fractions as
• $\frac{a}{b} = \frac{c}{d}$

According to the question

15:66::185:x

$\frac{15}{66} = \frac{185}{x}$

By cross multiplication

$15x = 185 \times 66 \\ x = \frac{185 \times 66}{15} \\ x = \frac{12210}{66} \\ x = 814$

Hence, the value of x = 814 i.e option a. 814 is correct

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